Find the axis of symmetry and vertex of y = ax² + bx + c
9th grade (Year 10 in England) · 16 questions · Common Core: HSF.IF.C.7.A, HSF.IF.B.4 · England: GCSE Higher Algebra
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Question 1
A company's daily cost (in hundreds) is C = 2n² − 12n + 48, where n is hundreds of items made. What is the minimum cost (in hundreds)?
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Question 2
Find the axis of symmetry of y = −x² − 6x − 2. Give the value of x.
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Question 3
Find the vertex of y = 2x² + 12x + 21. Type it like (2, −1).
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Question 4
A drone's height (m) after t seconds is h = −t² + 12t − 23. What is its maximum height?
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Question 5
Find the axis of symmetry of y = 2x² + 20x + 59. Give the value of x.
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Question 6
Find the vertex of y = 2x² − 12x + 10. Type it like (2, −1).
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Question 7
A company's daily cost (in hundreds) is C = n² − 2n + 7, where n is hundreds of items made. What is the minimum cost (in hundreds)?
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Question 8
Find the axis of symmetry of y = 2x² + 12x + 10. Give the value of x.
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Question 9
Find the vertex of y = 2x² − 16x + 31. Type it like (2, −1).
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Question 10
A drone's height (m) after t seconds is h = −2t² + 20t − 18. What is its maximum height?
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Question 11
Find the axis of symmetry of y = 3x² + 24x + 57. Give the value of x.
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Question 12
Find the vertex of y = −x² + 6x − 18. Type it like (2, −1).
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Question 13
A drone's height (m) after t seconds is h = −5t² + 60t − 169. What is its maximum height?
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Question 14
Find the axis of symmetry of y = x² − 4x + 7. Give the value of x.
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Question 15
Find the vertex of y = 3x² − 6x − 4. Type it like (2, −1).
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Question 16
A company's daily cost (in hundreds) is C = 2n² − 16n + 55, where n is hundreds of items made. What is the minimum cost (in hundreds)?
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